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Navier is a joint research unit between the Ecole des Ponts-ParisTech, IFSTTAR and CNRS (UMR 8205). Navier gathers about fifty permanent scientists and general skills in the mechanics and physics of materials and structures, in geotechnics, and their applications to in particular civil engineering and petroleum geophysics.

If the length-scales are well separated, homogenization theory can provide a robust theoretical framework for heterogeneous materials. In this context, the macroscopic properties can be retrieved from the solution to an auxiliary problem, formulated over the representative volume element (with appropriate boundary conditions). In the present work, we focus on the homogenization of heterogeneous materials which are described at the finest scale by two different materials models (both (...)